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21400434 = 23211293727
BaseRepresentation
bin101000110100…
…0101101110010
31111021020212200
41101220231302
520434303214
62042404030
7346620636
oct121505562
944236780
1021400434
1111097510
127200616
1345839a3
142bb0dc6
151d2ad09
hex1468b72

21400434 has 48 divisors (see below), whose sum is σ = 52341120. Its totient is φ = 6259680.

The previous prime is 21400429. The next prime is 21400451. The reversal of 21400434 is 43400412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3879 + ... + 7605.

It is an arithmetic number, because the mean of its divisors is an integer number (1090440).

Almost surely, 221400434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21400434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26170560).

21400434 is an abundant number, since it is smaller than the sum of its proper divisors (30940686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21400434 is a wasteful number, since it uses less digits than its factorization.

21400434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 21400434 is about 4626.0603108909. The cubic root of 21400434 is about 277.6349866763.

Adding to 21400434 its reverse (43400412), we get a palindrome (64800846).

The spelling of 21400434 in words is "twenty-one million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 3727 5742 7454 11181 22362 33543 40997 67086 81994 108083 122991 216166 245982 324249 368973 648498 737946 972747 1188913 1945494 2377826 3566739 7133478 10700217 21400434